Question

In triangle ABC, the measure of C is 90°, AC=24, and BC=10. What is the value of sin A?

Answer 1

Answer:

Sin A = 0.38462

Step-by-step explanation:

From the trigonometric function,

Sin A = $\frac{Opposite}{Hypotenuse}$  ................... 1

So that, applying the Pythagoras theorem to determine the value of hypotenuse,

$/Hyp/^{2}$ = $/Opp/^{2}$ + $/Adj/^{2}$

            = $24^{2}$ + $10^{2}$

            = 576 + 100

$/Hyp/^{2}$ = 676

Hyp = $\sqrt{676}$

       = 26

The hypotenuse of the triangle is 26.

Thus, from equation 1;

Sin A = $\frac{10}{26}$

Sin A = 0.38462